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Finding the Fourth Proportional to 161,768.70, 242,653.05 and 133,775.10

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Solution

The fourth proportional to 161,768.70, 242,653.05 and 133,775.10 is: 200,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,768.70 : 242,653.05 = 133,775.10 : x
  2. Step 2: Convert to fraction form
    161,768.70/242,653.05 = 133,775.10/x
  3. Step 3: Cross multiply
    161,768.70x = 242,653.05 × 133,775.10
  4. Step 4: Simplify right side
    161,768.70x = 32,460,936,029.06
  5. Step 5: Solve for x
    x = 32,460,936,029.06/161,768.70
  6. Step 6: Final answer
    x = 200,662.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.